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Finding the Fourth Proportional to 70,458.60, 105,686.31 and 17,150.80

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Solution

The fourth proportional to 70,458.60, 105,686.31 and 17,150.80 is: 25,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,458.60 : 105,686.31 = 17,150.80 : x
  2. Step 2: Convert to fraction form
    70,458.60/105,686.31 = 17,150.80/x
  3. Step 3: Cross multiply
    70,458.60x = 105,686.31 × 17,150.80
  4. Step 4: Simplify right side
    70,458.60x = 1,812,604,765.55
  5. Step 5: Solve for x
    x = 1,812,604,765.55/70,458.60
  6. Step 6: Final answer
    x = 25,725.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.